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Finding the Third Proportional to 683,840 and 1,582,965

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Solution

The third proportional to 683,840 and 1,582,965 is: 3,664,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,840 : 1,582,965 = 1,582,965 : x
  2. Step 2: Convert to fraction form
    683,840/1,582,965 = 1,582,965/x
  3. Step 3: Cross multiply
    683,840x = 1,582,965 × 1,582,965
  4. Step 4: Simplify right side
    683,840x = 2,505,778,191,225
  5. Step 5: Solve for x
    x = 2,505,778,191,225/683,840
  6. Step 6: Final answer
    x = 3,664,275.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.